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Stabilization of hybrid stochastic neutral-type systems with non-differentiable delays under high nonlinearity via discrete-time feedback control

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  • Huang, Yueli
  • Lv, Yuan
  • Zhu, Quanxin

Abstract

In this paper, we discuss a kind of unstable hybrid neutral stochastic systems with non-differentiable delays, whose coefficients satisfy polynomial growth conditions. The key purpose of this paper is to develop a controller based on discrete-time observations for both modes and states to achieve stability of the controlled system. We establish some new stability criteria for hybrid neutral-type stochastic systems with non-differentiable delay under high nonlinearity. The sufficient stability criteria of asymptotic stability, exponential stability and H∞ stability are established. Finally, an example is given to verify our theoretical results.

Suggested Citation

  • Huang, Yueli & Lv, Yuan & Zhu, Quanxin, 2025. "Stabilization of hybrid stochastic neutral-type systems with non-differentiable delays under high nonlinearity via discrete-time feedback control," Applied Mathematics and Computation, Elsevier, vol. 495(C).
    • Handle: RePEc:eee:apmaco:v:495:y:2025:i:c:s0096300325000608
    DOI: 10.1016/j.amc.2025.129333
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    References listed on IDEAS

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    1. Li, Jin & Guo, Ying & Liu, Xiaotong & Zhang, Yifan, 2024. "Stabilization of highly nonlinear stochastic coupled systems with Markovian switching under discrete-time state observations control," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. Chen, Tianrui & Fan, Zezhou & Wang, Wenhua & Li, Wenxue, 2024. "Practical stabilization of multi-links highly nonlinear Takagi-Sugeno fuzzy complex networks with Lévy noise based on aperiodically intermittent discrete-time observation control," Applied Mathematics and Computation, Elsevier, vol. 476(C).
    3. Zhang, Man & Lin, Chong & Chen, Bing, 2024. "Dynamic output feedback control for CPSs under transmission delays and sparse malicious attacks," Applied Mathematics and Computation, Elsevier, vol. 473(C).
    4. Song, Gongfei & Zhang, Zimeng & Zhu, Yanan & Li, Tao, 2022. "Discrete-time control for highly nonlinear neutral stochastic delay systems," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    5. Guo, Wanying & Meng, Shuyu & Qi, Ruotong & Li, Wenxue & Wu, Yongbao, 2024. "Existence of stationary distribution for stochastic coupled nonlinear strict-feedback systems with Markovian switching," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
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